On the class operators.
Bachir, A., Segres, A. (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Displaying similar documents to “On the operator equations and .”
On the class operators.
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Mathematics Subject Classification: 44A40, 45B05 The paper presents an abstract linear second kind Fredholm integral equation with degenerated kernel defined by means of the Bittner operational calculus. Fredholm alternative for mutually conjugated integral equations is also shown here. Some examples of solutions of the considered integral equation in various operational calculus models are also given.
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Differential Equations on Functions from R into Real Banach Space
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In this article, we describe the differential equations on functions from R into real Banach space. The descriptions are based on the article [20]. As preliminary to the proof of these theorems, we proved some properties of differentiable functions on real normed space. For the proof we referred to descriptions and theorems in the article [21] and the article [32]. And applying the theorems of Riemann integral introduced in the article [22], we proved the ordinary differential equations...
Partial Differentiation, Differentiation and Continuity on n -Dimensional Real Normed Linear Spaces
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Formalized Mathematics
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In this article, we aim to prove the characterization of differentiation by means of partial differentiation for vector-valued functions on n-dimensional real normed linear spaces (refer to [15] and [16]).
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Chiş, Adela (2005)
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Spectral properties of non-self-adjoint operators
Johannes Sjöstrand (2009)
Journées Équations aux dérivées partielles
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This text contains a slightly expanded version of my 6 hour mini-course at the PDE-meeting in Évian-les-Bains in June 2009. The first part gives some old and recent results on non-self-adjoint differential operators. The second part is devoted to recent results about Weyl distribution of eigenvalues of elliptic operators with small random perturbations. Part III, in collaboration with B. Helffer, gives explicit estimates in the Gearhardt-Prüss theorem for semi-groups.